Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2023 (08.12.2023) Shift-I
In a class there are 8, 10, 25 and 17 students having weights in the ranges 50-54 kg, 54-58 kg, 58-62 kg and 62-66 kg respectively. What is the mean weight of a student of the class?
A55.6 kg
B56.5 kg
C59.4 kg ✓ Correct
D60.2 kg
Correct answer: (C) 59.4 kg — The mean weight of a student is 59.4 kg.
Explanation
★The mean weight of a student is 59.4 kg.
★For grouped data the mean uses the midpoint of each class.
★The midpoints are 52, 56, 60 and 64 kg.
★Multiplying each midpoint by its frequency and summing gives 3564.
★The total number of students is 8 plus 10 plus 25 plus 17, which is 60.
★Dividing 3564 by 60 gives a mean of 59.4 kg.
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